重庆理工大学学报2024，Vol.38Issue(3)：353-360,8.DOI:10.3969/j.issn.1674-8425(z).2024.02.038
对称五对角矩阵加箭型矩阵的广义逆谱问题
Generalized inverse eigenvalue problem of symmetric pentadiagonal matrix plus arrow matrix
摘要
Abstract
This paper studies the generalized inverse spectrum problem of a kind of symmetric pentadiagonal matrix plus arrow matrix.First,the extreme eigenvalues of all principal submatrixes of the matrix are taken as their characteristic data.Second,the geometric properties of conic curve,pentadiagonal matrix and arrow matrix are employed to reconstruct this kind of special arrow banded matrix.Finally,the sufficient conditions for the solution of the problem and the algorithm and examples of the problem construction are given,and the accuracy of the results is verified.关键词
逆谱问题/圆锥曲线/五对角矩阵/箭型矩阵/箭状矩阵Key words
inverse spectral problems/conic/pentadiagonal matrices/arrow matrices/arrow banded matrix分类
数理科学引用本文复制引用
苏然,雷英杰,李繁华..对称五对角矩阵加箭型矩阵的广义逆谱问题[J].重庆理工大学学报,2024,38(3):353-360,8.基金项目
国家自然科学基金项目(11602232) （11602232）
